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Finding the Third Proportional to 38.11 and 82.34

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Solution

The third proportional to 38.11 and 82.34 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.11 : 82.34 = 82.34 : x
  2. Step 2: Convert to fraction form
    38.11/82.34 = 82.34/x
  3. Step 3: Cross multiply
    38.11x = 82.34 × 82.34
  4. Step 4: Simplify right side
    38.11x = 6,779.21
  5. Step 5: Solve for x
    x = 6,779.21/38.11
  6. Step 6: Final answer
    x = 177.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.